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12001110012 = 22374632963
BaseRepresentation
bin10110010110101001…
…00110011111111100
31010222101012120000000
423023110212133330
5144034241010022
65302505234300
7603253515633
oct131324463774
933871176000
1012001110012
1150a934a641
1223ab192990
131193462b38
1481bc2a51a
154a38de6ac
hex2cb5267fc

12001110012 has 96 divisors (see below), whose sum is σ = 31576796160. Its totient is φ = 3990382704.

The previous prime is 12001110007. The next prime is 12001110013. The reversal of 12001110012 is 21001110021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12001109976 and 12001110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12001110013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4048843 + ... + 4051805.

It is an arithmetic number, because the mean of its divisors is an integer number (328924960).

Almost surely, 212001110012 is an apocalyptic number.

12001110012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001110012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15788398080).

12001110012 is an abundant number, since it is smaller than the sum of its proper divisors (19575686148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12001110012 is an equidigital number, since it uses as much as digits as its factorization.

12001110012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3451 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12001110012 its reverse (21001110021), we get a palindrome (33002220033).

Subtracting 12001110012 from its reverse (21001110021), we obtain a palindrome (9000000009).

The spelling of 12001110012 in words is "twelve billion, one million, one hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 463 486 729 926 972 1389 1458 1852 2187 2778 2916 2963 4167 4374 5556 5926 8334 8748 8889 11852 12501 16668 17778 25002 26667 35556 37503 50004 53334 75006 80001 106668 112509 150012 160002 225018 240003 320004 337527 450036 480006 675054 720009 960012 1012581 1350108 1371869 1440018 2025162 2160027 2743738 2880036 4050324 4115607 4320054 5487476 6480081 8231214 8640108 12346821 12960162 16462428 24693642 25920324 37040463 49387284 74080926 111121389 148161852 222242778 333364167 444485556 666728334 1000092501 1333456668 2000185002 3000277503 4000370004 6000555006 12001110012